Finding the Third Proportional to 4,704 and 7,648

Step by Step Solution

1. Step 1: Write the proportion equation
   4,704 : 7,648 = 7,648 : x
2. Step 2: Convert to fraction form
   4,704/7,648 = 7,648/x
3. Step 3: Cross multiply
   4,704x = 7,648 × 7,648
4. Step 4: Simplify right side
   4,704x = 58,491,904
5. Step 5: Solve for x
   x = 58,491,904/4,704
6. Step 6: Final answer
   x = 12,434.50